Write the following matrix A as a product \(A = S O\) of a symmetric matrix S and an orthogonal matrix O. (a) \(A = { \left[ \begin{array} { l l } { 5 } & { 0 } \\ { 4 } & { 3 } \end{array} \right] } ,\) (b) \(A = { \left[ \begin{array} { l l } { 0 } & { 0 } \\ { 4 } & { - 3 } \end{array} \right] }\) In which case is such decomposition unique?
Polar decomposition of $2\times 2$ matrices
P-TRIV-LA37
- Area
- Prelim
- Status
- draft